Percolation in the Boolean model with convex grains in high dimension - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Percolation in the Boolean model with convex grains in high dimension

Jean-Baptiste Gouéré

Résumé

We investigate percolation in the Boolean model with convex grains in high dimension. For each dimension d, one fixes a compact, convex and symmetric set K ⊂ R d with non empty interior. In a first setting, the Boolean model is a reunion of translates of K. In a second setting, the Boolean model is a reunion of translates of K or ρK for a further parameter ρ ∈ (1, 2). We give the asymptotic behavior of the percolation probability and of the percolation threshold in the two settings.
Fichier principal
Vignette du fichier
Boolean-model-convex-high-dimension-HAL.pdf (633.34 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03044355 , version 1 (07-12-2020)

Identifiants

Citer

Jean-Baptiste Gouéré, Florestan Labéy. Percolation in the Boolean model with convex grains in high dimension. 2020. ⟨hal-03044355⟩
174 Consultations
68 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More